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      Question

      A number is first increased by 20% and then decreased by

      10%. If the final number is 108, find the original number.
      A 100 Correct Answer Incorrect Answer
      B 180 Correct Answer Incorrect Answer
      C 120 Correct Answer Incorrect Answer
      D 145 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the original number be x. After 20% increase = 1.2x After 10% decrease = 1.2x Γ— 0.9 = 1.08x 1.08x = 108 x = 100

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